Solve the following system of equations.
2x +y = 3 = 3
2 = 2y - 1 - 1

Answers

Answer 1

Answer:   or (1,1)

Step-by-step explanation:

You can apply the Method of substitution.

Knowing that   (second equation), you can substitute it into the first equation and solve for the variable y:

Now you need to substitute  into the second equation  to calculate the value of the variable x. Then:

Then, the solution is:

or (1,1)


Related Questions

Which of the following ratios is not equivalent to the rest: *
6 to 8
54 : 72
36 : 56
3 to 4

Answers

Answer:

36:56

Step-by-step explanation:

Answer: C 34:55

Step-by-step explanation:

start with 6:8 that’s the first one multiply by 9 on each side you get 54:72 so that’s the same and then 6:8 divide by 2 and you get 3:4 but for 36:56 you’d have to multiply by 6 and that would give you 36:48 not 36:56

Solve the equation

(- 5 + 7)5x+ 4=16

The solutions are:

Answers

Answer:

x=2

Step-by-step explanation:

Answer:

x=1.2

Step-by-step explanation:

Please help i was crying :(
Also there is another one
“Subtract. Write Your answer in simplest form” which is: 6 3/4 - 2 3/20

Answers

4 and 3 fifths i think 4 3/5

Answer:

is it 4 3/5 it might be

Step-by-step explanation:

Which polynomial is in standard form?
N
O 26x5 + 12x7-8x3 + 6x
O 3x5 +x-6x2 + 5
11x5-6x2-9x+12
5x2 + 18x3 - 12x4 +4x7

Answers

Answer:

i am pretty sure it is D

Step-by-step explanation:

Answer:

Its C.) 11x^5 - 6x^2 - 9x + 12

Step-by-step explanation:

ejenuwitee

=D

=P

Find the slope of the line graphed below.

Answers

Answer:

-3/5

Step-by-step explanation:

So first, you have to find out the two points :

(-1,-1), and (4,-4)

Next, you have to put into this formula:

y1-y2/x1-x2

The y values in our points are -4 and -1, and our x values are 4 and -1. Lets now substitute:

-4-(-1)/4-(-1)

Now simplify: -4+1/4+1, and solve and you will get -3/5 as the slope

If you liked it, please give me a good rating and please mark me as the brainliest... Thanks!

Hope you do well on your assignment!

Steve's bedroom measures 12 feet by 13 feet. Ricardo's bedroom measures 8 feet by 14
feet. Assuming that both bedrooms are rectangular, whose room has the greater area?

Answers

Answer: Steve's bedroom has the greater area.

Step-by-step explanation: The formula for area is Area = Length x Width.

So all you have to do to figure this out is multiply the Width of the rooms by the length.

So Steve's room is 12ft X 13ft = 156ft

Ricardo's room is 8ft X 14ft = 112ft

156ft > 112ft

Steve's room has a greater area.

Henry is using a total of 16 ft. of lumber to make a bookcase. The left and right sides of the bookcase are each
4 ft. high. The top, bottom, and two shelves are all the same length, labeled S. How long is each shelf?

Answers

Answer: Each shelf is 2ft

Step-by-step explanation:

16 = (2 x 4) + 4s

16 = 8 + 4s

8 = 4s (subtract 8 from both sides)

8/4 = 4s/4 (divide both sides by 4)

2 = s

Three equal squares are superimposed as indicated in the figure. The areas of the overlapping zones are 2 cm², 5 cm², and 8 cm², respectively. The total area of ​​the non-overlapping area of ​​the squares is 117 cm². What is the length of the side of each square?

Answers

Answer:   The square side lengths are  1 cm, 5 cm, and 11 cm.

===========================================================

Explanation:

Refer to the diagram below.

Define the following areas

A,B,C = non-overlapped regionsD,E,F = overlapped regions

It doesn't really matter how you set up the labels, or what letters you pick, as long as you stay consistent.

We're told that "The areas of the overlapping zones are 2 cm², 5 cm², and 8 cm²", so let's make

D = 2E = 5F = 8

Furthermore, we are told that "The total area of ​​the non-overlapping area of ​​the squares is 117 cm²" which means A+B+C = 117

---------------------------------------

Refer to the diagram. For now, focus on the upper right square. It has regions A, E, and F. The area of this square is A+E+F

Similarly, the area of the left-most square is D+B+E

The area of the bottom-most square is C+F+D

Add up the expressions we found and we get

(A+E+F)+(D+B+E)+(C+F+D) = A+B+C+2D+2E+2F

This represents the sum of all three square areas even if we peeled the squares apart to not overlap.

----------------------------------------

Let's plug in A+B+C = 117

We get

A+B+C+2D+2E+2F

117+2D+2E+2F

Now plug in D = 2, E = 5, and F = 8

117+2(2)+2(5)+2(8)

117+4+10+16

117+30

147

The sum of the three square areas is 147 square cm.

----------------------------------------

Now we have to do a bit of trial and error. We're looking for ways to break up 147 such that it is a sum of three squares.

In other words, we want to find integers m,n,p such that m^2+n^2+p^2 = 147

Let's try subtracting off 121

147-121 = 26

I picked 121 since it's the largest perfect square just smaller than 147

Repeat this process, but do so for 25 since 25 is smaller than 26

26-25 = 1

We can see that

1 + 25 + 121 = 147

1^2 + 5^2 + 11^2 = 147

One solution is m = 1, n = 5, p = 11. There may be other solutions. Keep in mind that m,n,p are positive whole numbers.

So we got a bit lucky with our trial and error process. If we didn't find such a triple, we'd have to try other possible combos of squares until we get the right match.

Because 1^2 + 5^2 + 11^2 = 147, this means the squares' side lengths are 1, 5, and 11.

what is Evaluate 2. to the 2 power

Answers

Answer:

2^2 = 4

Step-by-step explanation:

2*2 = 4

2 to the 2 power is 2^2 = 2 x 2 = 4

Can anyone help me out solving this?

Answers

Answer: 25

Step-by-step explanation: When you divide exponents with the same base, you can subtract the exponents. It becomes 5^4-2, which is 5^2, which is 25

Yeah 5^4 is 625 and 5^2 is 25 so 625/25 is 25 the answer is 25

How many blueberries on the on cake roof

Answers

Answer:

say what

Step-by-step explanation:

solve x 3+3(x+2)=-24​

Answers

Answer:

x=-11

Step-by-step explanation:

3+3x=6=-24

3x+9=-24

3x=-33

x=-11

Answer:

x = -11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

3 + 3(x + 2) = -24

Step 2: Solve for x

Distribute 3:                    3 + 3x + 6 = -24Combine like terms:       3x + 9 = -24Isolate x term:                 3x = -33Isolate x:                          x = -11

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    3 + 3(-11 + 2) = -24Add:                                     3 + 3(-9) = -24Multiply:                               3 - 27 = -24Subtract:                              -24 = -24

Here we see that -24 does indeed equal -24.

∴ x = -11 is the solution to the equation.

Which solution would make this equation have infinitely many solutions?


A.-18
B.-9
C.9
D.18

Answers

Answer: -18

Step-by-step explanation:

it’s would be -9 for sure

You earn 90% on a quiz. If you earned 36 points, how many points was the quiz worth?​

Answers

40 questions
Reasoning: 36/40=0.9

Answer:

36/90%=40

Step-by-step explanation:

40 points in total

Angela is planting flowers in her flowerbed. She wants the ratio of tulips to roses to be 5 to 2. If a total of 63 flowers are planted, how many tulips should there be?

Answers

Answer:

45 Tulips

Step-by-step explanation:

63/7=9

Tulips: Roses=5:2

Tulips=9x5=45

Roses=9x2=18

find m
right anwser gets brainliest

Answers

Answer:

The measure of <FDE is 18°

What is the area of a rectangle with a length of 1/3 yards and width of 3/4 yard?

Answers

Answer:

1/4 yards squared

Step-by-step explanation:

Area of a rectangle equals length times width.

1/3 x 3/4 = 3/12, or 1/4

Answer:

It would be 1/4 and if not try 3/12

Step-by-step explanation:

I hope this helped

Please help me in struggling!!!!!!!!!!!!!

Answers

Answer:

Here’s the answer

Step-by-step explanation:

Tina is taking picture of her friends. if she sets a tripod level on the ground, will the bottom of each of the legs of tripod be coplanar

Answers

Answer:

Yes

Step-by-step explanation:

PLEASEEEE HELPP !
A company sells bottles of vitamin capsules. The graph and table show the linear relationship between the cost per capsule in cents and the number of bottles ordered. What is the slope of the line that models this situation?

Answers

Answer:

[tex] slope (m) = -5 [/tex]

Step-by-step explanation:

The slope can be calculated using two points, (2, 60) and (4, 50) as shown below:

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} [/tex], where,

[tex] (2, 60) = (x_1, y_1) [/tex]

[tex] (4, 50) = (x_2, y_2) [/tex]

Plug in the values into the equation

[tex] slope (m) = \frac{50 - 60}{4 - 2} [/tex]

[tex] slope (m) = \frac{-10}{2} [/tex]

[tex] slope (m) = -5 [/tex]

Answer:

x=6

Step-by-step explanation:

how much change did she receive?

Answers

Umm I’m not good at showing my work but the answer is -1.21

PLEASEEEEE HELLLPPP MEEE

Answers

Answer:

100

Step-by-step explanation:

1. The temperature was very cold. Then the temperature doubled. Then the temperature dropped by 10 degrees. Then the temperature increased by 40 degrees. The temperature is now 16 degrees. What was the starting temperature? ​

Answers

Answer:

10,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

The sum of three numbers $x$ ,$y$, $z$ is 165. When the smallest number $x$ is multiplied by 7, the result is $n$. The value $n$ is obtained by subtracting 9 from the largest number $y$. This number $n$ also results by adding 9 to the third number $z$. What is the product of the three numbers?

Just take the $ out

Answers

You're given

x + y + z = 165

7x = n

n = y - 9

n = 9 + z

and you want to find xyz.

Solve the last three equations for x, y, and z :

7x = n   →   x = n/7

n = y - 9   →   y = n + 9

n = 9 + z   →   z = n - 9

Substitute x, y, and z into the first equation and solve for n :

n/7 + (n + 9) + (n - 9) = 165

n/7 + 2n = 165

n + 14n = 1155

15n = 1155

n = 77

Now solve for x, y, and z :

x = 77/7 = 11

y = 77 + 9 = 86

z = 77 - 9 = 68

Then the product is

xyz = 11 • 86 • 68 = 64,328

The product of the three numbers is 8,192,040. The sum of three numbers x, y, z is 165: x + y + z = 165

The problem states:

1. When the smallest number x is multiplied by 7, the result is n: 7x = n

2. The value n is obtained by subtracting 9 from the largest number y: n = y - 9

3. The value n is also obtained by adding 9 to the third number z: n = z + 9

Now, let's proceed to find the values of x, y, z, and n:

From equation (2), we can express x in terms of n:

x = n/7

Now, substitute the value of x in equation (1):

(n/7) + y + z = 165

From equation (3), we can express y in terms of n:

y = n + 9

Now, substitute the value of y in the equation above:

(n/7) + (n + 9) + z = 165

From equation (4), we can express z in terms of n:

z = n - 9

Now, substitute the value of z in the equation above:

(n/7) + (n + 9) + (n - 9) = 165

Combine the terms with n:

3n/7 = 165

To isolate n, multiply both sides by 7/3:

n = 165 * (7/3)

n = 385

Now, we have the value of n, which is 385. To find the values of x, y, and z, substitute n back into the respective equations:

x = n/7 = 385/7

≈ 55

y = n + 9 = 385 + 9

= 394

z = n - 9 = 385 - 9

= 376

Now, we have the values of x, y, z, and n:

x = 55,

y = 394,

z = 376,

n = 385

To find the product of the three numbers, simply multiply them:

Product = x * y * z

= 55 * 394 * 376

≈ 8,192,040

So, the product of the three numbers is 8,192,040.

To know more about three numbers:

https://brainly.com/question/30269736

#SPJ2


Point k lies at (-3,4). Point k is reflected over the y-axis and then translated 7
units down to produce K'. Which rule could have been used to produce K' from K?
K(x, y) +K'(x,y-7)
K(x,y) →K'(-x, y-7)
K(x,y) →K'(x, -y-7)
K(x,y) → K'(-x-7.-y-7)

Answers

Answer:

b

Step-by-step explanation:

Answer:B

Step-by-step explanation:

What is the first step to solving the division problem below?


Divide 15 into 82 to get 5.
Divide 15 into 82 to get 6.
Multiply 15 by 5 to get 75.
Multiply 15 by 6 to get 80.

Answers

Answer:

divide 15 into 82 to get 5 is the first step

Step-by-step explanation:

Answer:

The answer is A, ¨Divide 15 into 82 to get 5.¨

Step-by-step explanation:

Please make as brainliest! Thanks and i hope it is right!!! Pls say if wrong. Bye

Can you help me with this question please

Answers

Answer:

34

Step-by-step explanation:

Answer:

34 just subtract

Step-by-step explanation:

A typical tip in a restaurant is​ 15% of the total bill. If the bill is ​$160​, what would the typical tip​ be?

Answers

Answer:

24$

Step-by-step explanation:

15%=0.15

160*0.15=24

A recursive rule for a sequence is given. Find the first four terms of the sequence.
f(1) = 2
f(n) = 4. f(n – 1), where n is an integer and n > 2.

Answers

Answer:  

So...

   a0 = -2

   a1 = (a0)2 - 4  =  4 - 4  =  0

   a2 = (a1)2 - 4 = ((a0)2-4)2 - 4 =...=  02 - 4  = -4  

       For an+1, you may use the previous term (an) if you have just calculated it, rather than calculating it recursively again

   a3 = (-4)2 - 4 = 12

 

The first four terms in the sequence are -2, 0, -4, 12.

Step-by-step explanation:

This recursive sequence is defined as follows:

 a0 = -2      [the first term]

 an+1 = an2 - 4     [for all other terms, n≥0; note that you cannot find a0 using this line]

 

Note that this is not "BASE" for a number base, but it is "SUB" for subscript, indicating the term.  Sometimes, sequences are written with the first term being a1 and sometimes sequences are written with the first term being a0.  This is because there are situations that make one or the other more convenient (for example, starting with elapsed time t=0 makes sense).

 

To find the value of later terms, a recursive definition requires that you find the value of the previous term, which requires that you find the value of the previous term, which requires that you find the value of the previous term, which requires that you find the value of the previous term, ... which requires that use the value of the first term.

 

That's why (joke) that the dictionary definition of "recursive" is "see recursive."

What is the simple interest earned when the principal is $500 at a rate of 10% held in the ban for 8 months?

Answers

S.I= PRT /100

where,

P = price $500

R = rate 10%

T = time =8months

= $500*10*8/100

= $40,000/100

S.I = $400

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